Unless I'm doing this improperly, I can not reposition the joystick and buttons.
For my game this is inconvenient as I had plotted out areas that were out of the way but the controls are still in their default spots (marked by the tiny white circles):
And a video:
What I'm doing is telling the joystick object "Set joystick position" and then I pick a spot in the viewable area. The joystick doesn't seem to move, nor the button.